The Lean 4 theorem `quadOp_add_realBoundedPotential_essentiallySelfAdjoint` in the `ChapterHyperbolicQuadraticEsa` chapter of the timepiece formalization
ProvedBookProof.HyperbolicQuadratic.quadOp_add_realBoundedPotential_essentiallySelfAdjointtimepiece
The Lean 4 theorem quadOp_add_realBoundedPotential_essentiallySelfAdjoint in the ChapterHyperbolicQuadraticEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterHyperbolicQuadraticEsa.lean — theorem BookProof.HyperbolicQuadratic.quadOp_add_realBoundedPotential_essentiallySelfAdjoint
import Mathlib
import Definitions.Def_ChapterHyperbolicQuadraticEsa
open BookProof.HyperbolicQuadratic
open MeasureTheory MvPolynomial
open BookProof.HermiteProductCore BookProof.HermiteProductBasis
open BookProof.FarisLavine
open BookProof.NavierStokesFlow.DifferentialL2
noncomputable section
variable {d : ℕ}
open scoped ENNReal inFormal statement
theorem BookProof.HyperbolicQuadratic.quadOp_add_realBoundedPotential_essentiallySelfAdjoint (c : Fin d → ℝ)
(W : Vd d → ℝ)
(hW : MeasureTheory.MemLp (fun x => (W x : ℂ)) (⊤ : ℝ≥0∞) (volume : Measure (Vd d))) :
EssentiallySelfAdjointOn (polyGaussCore (d := d))
(quadOp c + ((BookProof.StrichartzWave.mulL2 (hW.toLp _)).toLinearMap ∘ₗ
(polyGaussCore (d := d)).subtype)) := by sorrySource